“…This is in line with observations that several animal species exhibit a level of self-control that is best explained by maximization of the short-term reward rate, which is insensitive to PRD and ITI (i.e., reward amount divided by reward delay; starlings [ Sturnus vulgaris ]: Bateson & Kacelnik, 1996; blue jays [ Cyanocitta cristata ]: Stephens & Anderson, 2001; tamarins [ Saguinus oedipus ]: Stevens et al, 2005). Indeed, some studies have shown that animals are sensitive to PRD to some extent, but the sensitivity to PRD is much smaller than the sensitivity to the reward amount and delay (e.g., pigeons [ Columba livia ]: Hata & Saeki, 2018; Logue et al, 1985; rats [ Rattus norvegicus ]: Yamaguchi et al, 2015). If the difference in PRD between two options is ignored, the long-term reward rate obtained by choosing either option would be misestimated, which may be consistent with the hyperbolically discounted value derived from ITC behavior in many species (Hwang et al, 2009; Kirby & Maraković, 1995; Mazur & Biondi, 2009).…”